The American preacher who planned a mass burning of the Qur'an on the anniversary of the 9/11 terrorist attacks could be banned from entering Britain under incitement and national security laws.

Terry Jones, a pentecostal preacher, is to address the far-right group, the English Defence League (EDL), about "the evils of Islam" at a rally in Luton in February.

Theresa May, the home secretary, is under intense pressure to ban Jones and said she was "actively looking" at the case. She said Jones had "been on her radar for a few months" and, as home secretary, she could ban his entry if he was a threat to national security.

A statement on Jones's website said: "During the protest, Dr Terry Jones will speak against the evils and destructiveness of Islam in support of the continued fight against the Islamification of England and Europe." The EDL said it was "proud to announce" that Jones would be attending its "biggest demonstration to date".

The anti-racism movement Hope Not Hate launched a petition to ban Jones as "a preacher of hate". Nick Lowles, editor of Searchlight magazine, and the campaign's co-ordinator, said: "[His] presence in Luton will be incendiary and highly dangerous. He will attract and encourage thousands of English Defence League supporters to take to the streets of Luton.

"Like the EDL, Pastor Jones indiscriminately targets all Muslims and their actions can only lead to increased tensions and racism in our communities." During its last march in Luton, 250 EDL supporters rampaged through an Asian area, attacking people and damaging property. On Saturday, 500 marched in Peterborough, leading to 11 arrests. "The EDL march in February has the potential to be far worse," Lowles said. "Only extremists will benefit from his visit and, as we know, extremism breeds hatred and hatred breeds violence. Pastor Jones, a preacher of hate, must be stopped from entering the UK."

Jones's stunt – he called it international burn-a-Qur'an day, on 11 September – caused widespread alarm as he enacted a countdown. He then issued a two-hour deadline, on television, to Feisal Abdul Rauf, the imam linked to the proposal to build an Islamic cultural centre near Ground Zero, the site of the 9/11 attacks.

Barack Obama warned Jones that his actions would boost al-Qaida and put US citizens and soldiers at risk. The president's intervention is believed to have persuaded the head of the Dove World Outreach Centre church in Gainesville, Florida, to call off the stunt with just a day to spare.

Jones was also denounced by leaders of the Christian Community of Cologne, a church he founded in Germany in the 1980s and which subsequently dismissed him from the board after allegations he mistreated followers.

The home secretary has the power to exclude or deport Jones if his presence in the UK could threaten national security, public order or the safety of citizens, or if she believes his views glorify terrorism, promote violence or encourage other serious crime.

In June she banned Zakir Naik – a preacher who claimed that "every Muslim should be a terrorist" – from entering the UK.